1827904 has 35 divisors (see below), whose sum is σ = 3929507. Its totient is φ = 843648.

The previous prime is 1827901. The next prime is 1827929. The reversal of 1827904 is 4097281.

The square root of 1827904 is 1352.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 906304 + 921600 = 952^2 + 960^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=26.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1827901) by changing a digit.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 140602 + ... + 140614.

2^1827904 is an apocalyptic number.

1827904 is the 1352-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1827904

1827904 is an abundant number, since it is smaller than the sum of its proper divisors (2101603).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1827904 is an frugal number, since it uses more digits than its factorization.

1827904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The cubic root of 1827904 is about 122.2694037615.

The spelling of 1827904 in words is "one million, eight hundred twenty-seven thousand, nine hundred four".